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        <title>API docs for &ldquo;sympy.functions.special.polynomials&rdquo;</title>
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        <body><h1 class="module">Module s.f.s.polynomials</h1><span id="part">Part of <a href="sympy.functions.special.html">sympy.functions.special</a></span><div class="toplevel"><div><p>This module mainly implements special orthogonal polynomials.</p>
<p>See also functions.combinatorial.numbers which contains some 
combinatorial polynomials.</p>
</div></div><table class="children"><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.PolynomialSequence.html">PolynomialSequence</a></td><td><div><p>Polynomial sequence with 1 index</p>
</div></td></tr><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.PolynomialSequence2.html">PolynomialSequence2</a></td><td><div><p>Polynomial sequence with 2 indexes</p>
</div></td></tr><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.chebyshevt.html">chebyshevt</a></td><td><div><p>chebyshevt(n, x) gives the nth Chebyshev polynomial (of the first</p>
</div></td></tr><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.chebyshevu.html">chebyshevu</a></td><td><div><p>chebyshevu(n, x) gives the nth Chebyshev polynomial of the second</p>
</div></td></tr><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.chebyshevt_root.html">chebyshevt_root</a></td><td><div><p>chebyshev_root(n, k) returns the kth root (indexed from zero) of</p>
</div></td></tr><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.chebyshevu_root.html">chebyshevu_root</a></td><td><div><p>chebyshevu_root(n, k) returns the kth root (indexed from zero) of 
the</p>
</div></td></tr><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.legendre.html">legendre</a></td><td><div><p>legendre(n, x) gives the nth Legendre polynomial of x, P_n(x)</p>
</div></td></tr><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.assoc_legendre.html">assoc_legendre</a></td><td><div><p>assoc_legendre(n,m, x) gives P_nm(x) = mth association to Legendre 
polynomial P_n(x)</p>
</div></td></tr><tr class="class"><td>Class</td><td><a href="sympy.functions.special.polynomials.hermite.html">hermite</a></td><td><div><p>hermite(n, x) gives the nth Hermite polynomial in x, H_n(x)</p>
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